Your comments

Agreed — make it optional. Simplicity is the key. Don't throw it away.
After using the program for a while I realize my idea does make sense. Usually you don't need to press Ctrl-F when correcting the search term. You just type it right away. But if you do press Ctrl-F, you more often want to search for another term. Still, you can correct the old term by pressing right arrow. I really want this feature.
Tried again. Now I see what you mean. Yes, it can be done, thank you. But I still think my idea makes things easy to understand. Especially for those who use FireFox often. Anyway, thanks for great program.
Yes, I tried.

1. Start the program. Input "text". The program gives you the note with the word "text" in it. Double-click on the note. Edit it if you want. So far, no problem. Minimize the program.

2. After 10 minutes you want to find another note with the word "123". What you do? With the shortcut you launch the program, press Ctrl-F to the get the cursor in the search field.

And here comes the problem. If you press "123", you end up with "text123". So first you need to delete the previous search line "text". How can you do it?
- press "backspace" 4 times
- press Esc and then press "Ctrl-F" again

3. The solution is to select the text in search field when pressing "Ctrl-F". This way you can just press "123" right away, the previous text will be automatically deleted. If you need it (for example, you want "texts" this time), just press arrow button "Right", the selection will be removed.